# Thread: Simplifying a radical

1. ## Simplifying a radical

Simplify by factoring. Assume that all variables in a randicand represent positive real numbers and no randicands involve negative quatities raised to even powers.

Can anyone help :S?

5√2187x^8 y^29

p.s the 5 is supposed to be the 5th root to the numbers inside.

2. ## re: Simplifying a radical

Originally Posted by math121
Simplify by factoring. Assume that all variables in a randicand represent positive real numbers and no randicands involve negative quatities raised to even powers.

Can anyone help :S?

5√2187x^8 y^29

p.s the 5 is supposed to be the 5th root to the numbers inside.
$\sqrt[5]{3^7 \cdot x^8 \cdot y^{29}} = \sqrt[5]{3^5 \cdot 3^2 \cdot x^5 \cdot x^3 \cdot y^{25} \cdot y^4}$

Surely you have some idea what to do. I've done the difficult part for you, now finish it.

3. ## Re: Can anybody help me with this math question? No idea what to do.

Originally Posted by math121
Simplify by factoring. Assume that all variables in a randicand represent positive real numbers and no randicands involve negative quatities raised to even powers.
5√2187x^8 y^29
$\sqrt[5]{{2187x^8 y^{29} }} = \sqrt[5]{{3^7 x^8 y^{29} }} = 3xy^5 \sqrt[5]{{9x^3 y^4 }}$

4. ## Re: Simplifying a radical

I honestly do not know, thats why i am asking

5. ## Re: Simplifying a radical

Originally Posted by math121
I honestly do not know, thats why i am asking
then you need to see some lessons on the topic ...

Simplifying Radical Expressions1 | Algebra I Worked Examples | Khan Academy

3xy^4?

7. ## Re: Simplifying a radical

Originally Posted by math121
3xy^4?
Plato completed the problem for you in post #3

8. ## Re: Simplifying a radical

Hi math121,

Maybe this might help you

5th root of x^8=(x^8)^1/5=(x^5*x^3)^1/5=x*x^3/5= x* 5th root ofx^3